| 有限非扩张映像族显格式迭代的强收敛性 |
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| 引用本文： | 许素梅,刘玉军. 有限非扩张映像族显格式迭代的强收敛性[J]. 安徽大学学报(自然科学版), 2009, 33(1) |
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| 作者姓名： | 许素梅 刘玉军 |
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| 作者单位： | 安阳师范学院,数学科学学院,河南,安阳,455000 |
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| 摘 要： | 不动点理论是非线性泛函分析的重要组成部分,同时不动点理论的发展又推动着其他数学领域的发展.论文将在一致凸的Banach空间中提出一个有限非扩张映像族的迭代格式,当控制条件αn,λ满足一定的条件时,则{xn}强收敛于有限扩张族映像的一个公共不动点.这个结果推广了Xu H K[1]在2007年的结果.
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| 关 键 词： | 渐进非扩张 半紧性 不动点 一致凸Banach空间 |
Strong convergence for a finite family of non-expansive mappings |
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| XU Su-mei,LIU Yu-jun. Strong convergence for a finite family of non-expansive mappings[J]. Journal of Anhui University(Natural Sciences), 2009, 33(1) |
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| Authors: | XU Su-mei LIU Yu-jun |
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| Affiliation: | School of Mathematical Sciences;Anyang Normal University;Anyang 455000;China |
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| Abstract: | The fixed theory was an important parts of nonlinear functional analysis.The development of fixed point theory stimulated the study of many mathematical fields.We constructed effective iterative schemes to approximate the fixed point of mapping.A new algorithm was provided to found a fixed point of an finite family of non-expansive self-mapping of a closed convex subset of uniformly convex Banach space.When αn,λ satisfied some conditions,then {xn} strongly converged to a common fixed point of T.The paper mainly extended Xu H K[1] results and some others. |
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| Keywords: | non-expansive semi-compactness fixed point uniformly convex Banach space. |
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